Q50. - Algebra 1

Question

One coin is randomly selected from a jar containing 20 pennies, 15 nickels, 3 dimes, and 12 quarters. Find the odds of each outcome. Write the simplest form.

P(A penny)

Step-by-Step Solution

Answer

The probability is $P=0.4$.

Step 1. Formula used.

$\text{Probability }P=\frac{\text{Possible event }\left(PE\right)}{\text{Total event }\left(TE\right)}$

Step 2. Total numbers of coins.

$\begin{array}{l}TE=20+15+3+12\\ TE=50\end{array}$

Step 3. Calculate the probability of selecting one penny from the jar.

$\begin{array}{l}\text{Probability }P=\frac{\text{Total number of penny coin }\left(PE\right)}{\text{Total number of coin }\left(TE\right)}\\ \text{Probability }P=\frac{20}{50}\\ P=0.4\end{array}$

Therefore, the probability of selecting one penny from the jar is 0.4.